\subHeading{Behavior of PRKS.}

Bar graph for all PRKS versions:
%% For every link, we have a link PDR, then for all these PDRs, we get median, mean and std, then draw its bar graph
*****    median/mean of PDR   (done)
*****    std of PDR  (done)
    rising time, settling time  (Yu will do this)
        Rising time: first time instant when the PDR is above the required PDR.
        Settling time: firs time instant after the rising time when the PDR is within (by distribution) steady state PDR range.
% Concurrency 
*****    concurrency
        include the one for iOrder too
*****    delay 
% the controller function in data-analysis.cc
Time series of
****    (PDR, ER size, SINR) of a typical, ``good-looking'' link for 90\% reliability requirement   (done)
    $\sum_{textrm{all links (S, R)}} |Y_{S,R}(t) - T_{S,R}|$ 


For ``mixed PDR requirement'': (done)
    Boxplot for ``PDR'' grouped by PDR requirement (done)
    Boxplot for ``ER size'' grouped by PDR requirement (done)

Control plane behavior 
    signaling reliability etc
    statistics (e.g., cdf/histogram/samples) of $d_0$ for both ER info types   (Alreay have it)



==============
\subHeading{Comparison of different protocols.}


Bar graph for all protocols:
    median/mean of PDR
    %std of PDR
    %rising time, settling time

    concurrency
    delay

Compare to other protocols: (small and large networks)
    %How do we define PDR improvement?  Many delay values, reduction based on what? Median? Mean?
    For each link, PDR improvement and delay reduction; then draw histogram/cdf
    (delay: compute mean for each link, show network statistics)
    ? Concurrency 

    RID-B. PRKS\_L PRKS\_R PRKS\_RI

    NEXT STEP:
    1. other protocols to compare
    2. multi-hop traffic
==========================================WHAT WE NEED=======================================================
1. PDR for each link in stable region (can compute Median, Mean, PDR improvement, and Std for all protocols)
2. Delay for each link in stable region (compute Mean delay reduction and show statistics for all protocols)
3. Controller behavior in detail. (may not use in most of the cases)
4. Mixed PDR requirements: Show PDR requirement, ER size, PRK model parameter K. (may not use in most of the cases)
5. D_0 Samples
6. Concurrent Transmitters
